Would anyone be able to direct my to a site or give me information for new lighting that would be sufficient for live rock and an anemone that's not the most expensive?
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There are lots of opinions on lighting, but either MH (metal-halide), LED, or T5-HO (T5-High Output) will be a solid choice. MH is the old (but certainly not outdated) standard, which can produce great results. The only issue there is that they produce quite a bit of heat. There are a variety of bulbs you can choose from to get different coloration.
T5-HO is high output fluorescent lighting. You would probably want to go with a 4-bulb unit for that size tank. You can pick several different bulb combinations to get the color that you want.
Both of the above are pretty much plug and play options. LED's are more experimental at this point. The technology that made them a viable high power choice really began to mature maybe 4-5 years ago. There are several good fixtures available today, but one needs to be careful. They are powerful enough that they can damage corals pretty easily. When one sets up an LED, they should start with it at a low intensity and slowly ramp it up over many weeks to months. Many of these fixtures can also set each color independently, so the user can modify the appearance on demand. This can also result in the user setting the light so that the corals aren't getting enough of the proper spectrum of light.
Key words to look into: Radium, Radion, ATI, Geissmann, Kessil, and you'll find quite a few more.